1. Which of the following statements is true?
2. I.The finite population correction factor will lead to a narrower confidence intervalthan if an infinite population had been assumed.
3. II. The appropriate procedure for constructing an interval estimate for the population mean (that is, for example, whether the t distribution is appropriate) depends largely on whether the sample size islarge or small.
4. a.I but not II.
5. b.II but not I.
6. c.Neither I nor II.
7. d.Both I and II.

2.Which of the following is anincorrectstatement?

a.The sampling distribution of the sample mean is normal if the population has a normal distribution.

b.The sampling distributionof the sample mean has a mean equal to the population meaneven if the population is not normally distributed.

c.The sampling distribution of the sample mean has standard deviation/neven if the population is not normally distributed.

d.The larger the value of the sample size n,the closer the standard deviation of the sample mean is to the standard deviation of the population.

e.When n is large,the sampling distribution of the sample mean is approximately normal even if the populationis not normally distributed.

3.The concept that allows us to draw conclusions about the population based strictly on sample data without having any knowledge about the distribution of the underlying population is

a.the central limit theorem.

b.the standard deviation.c.the variance.

d.the normal distribution.

e.the standard error of the mean.